A refinement of the Kolmogorov-Marcinkiewicz-Zygmund strong law of large numbers

DOI10.1007/s10959-010-0308-5zbMath1233.60017arXiv1008.4341OpenAlexW2127195516MaRDI QIDQ662871

Andrew Rosalsky, Yongcheng Qi, De Li Li

Publication date: 13 February 2012

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4341

zbMATH Keywords

real separable Banach spacesums of i.i.d. random variablesRademacher type \(p\) Banach spaceKolmogorov-Marcinkiewicz-Zygmund strong law of large numbersstable type \(p\) Banach space

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (7)

On the complete convergence for pairwise negatively quadrant dependent random variables ⋮ A characterization of a new type of strong law of large numbers ⋮ Law of large numbers for weakly dependent random variables with values in $D[0,1$] ⋮ On the (p,q)$(p,q)$‐type strong law of large numbers for sequences of independent random variables ⋮ Divergence criterion for a class of random series related to the partial sums of I.I.D. random variables ⋮ On the rate of convergence in the strong law of large numbers for martingales ⋮ An Extension of Theorems of Hechner and Heinkel

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